Answer:
C
Step-by-step explanation:
Given
tan([tex]sin^{-1}[/tex]([tex]\frac{1}{2}[/tex]))
Evaluate
[tex]sin^{-1}[/tex]([tex]\frac{1}{2}[/tex]) = 30°, then
tan30° = [tex]\frac{1}{\sqrt{3} }[/tex] ← rationalise the denominator
= [tex]\frac{1}{\sqrt{3} }[/tex] × [tex]\frac{\sqrt{3} }{\sqrt{3} }[/tex] = [tex]\frac{\sqrt{3} }{3}[/tex] → C
